Pith Number

pith:4OTH2NWA

pith:2017:4OTH2NWAK3L7TETSMDQMTLDYLX

not attested not anchored not stored refs pending

Stable processes, self-similarity and the unit ball

Andreas E. Kyprianou

arxiv:1707.04343 v5 · 2017-07-13 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4OTH2NWAK3L7TETSMDQMTLDYLX}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:22:05.954144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3a67d36c056d7f9927260e0c9ac785ddf4e3017a6b5c24e9ac269c9166a6cc3

Aliases

arxiv: 1707.04343 · arxiv_version: 1707.04343v5 · doi: 10.48550/arxiv.1707.04343 · pith_short_12: 4OTH2NWAK3L7 · pith_short_16: 4OTH2NWAK3L7TETS · pith_short_8: 4OTH2NWA

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/4OTH2NWAK3L7TETSMDQMTLDYLX \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e3a67d36c056d7f9927260e0c9ac785ddf4e3017a6b5c24e9ac269c9166a6cc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2d0f01a6691add8ce90a573487e8fc148c68a6f885afc29c9170a5fc721336f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-07-13T22:17:55Z",
    "title_canon_sha256": "b8ffeda5acde0252df37796326c9faf83680be7cd0dfdedf67b8eec5ad8b3cfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.04343",
    "kind": "arxiv",
    "version": 5
  }
}